Negative Spectrum in Harmonic Oscillator under Simultaneous Non-Hermitian Co-ordinate and Momentum Transformation

摘要

We notice that PT symmetric non-Hermitian one dimensional simple Harmonic Oscillator under simultaneous transformation of co-ordinate and momentum with proper choice of positive oscillating frequency can reflect negative spectrum with well behaved wave function in real space. We also present a suitable computer program to realize the negative spectrum directly.